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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 18

If A = {2, 4, 6} and B = {1, 3, 5}, what is A ∩ B?

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Answer and explanation

Correct answer: ∅

The intersection contains only elements common to both sets. Set A contains the even numbers 2, 4, and 6, while set B contains the odd numbers 1, 3, and 5. No number appears in both sets, so the sets are disjoint. Consequently, their intersection has no elements and is the empty set: A ∩ B = ∅.

Tags

setsempty setdisjoint setsintersectionOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

∅

Why is this the correct answer?

The intersection contains only elements common to both sets. Set A contains the even numbers 2, 4, and 6, while set B contains the odd numbers 1, 3, and 5. No number appears in both sets, so the sets are disjoint. Consequently, their intersection has no elements and is the empty set: A ∩ B = ∅.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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